{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,14]],"date-time":"2025-07-14T02:45:12Z","timestamp":1752461112746},"reference-count":19,"publisher":"Elsevier BV","issue":"3","license":[{"start":{"date-parts":[[1994,5,1]],"date-time":"1994-05-01T00:00:00Z","timestamp":767750400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,7,17]],"date-time":"2013-07-17T00:00:00Z","timestamp":1374019200000},"content-version":"vor","delay-in-days":7017,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Applied Mathematics"],"published-print":{"date-parts":[[1994,5]]},"DOI":"10.1016\/0166-218x(92)00031-g","type":"journal-article","created":{"date-parts":[[2002,7,26]],"date-time":"2002-07-26T03:43:01Z","timestamp":1027654981000},"page":"209-220","source":"Crossref","is-referenced-by-count":5,"title":["Sequential and simultaneous aggregation of diophantine equations"],"prefix":"10.1016","volume":"50","author":[{"given":"Djangir A.","family":"Babayev","sequence":"first","affiliation":[]},{"given":"Sahib S.","family":"Mardanov","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/0166-218X(92)00031-G_BIB1","series-title":"A note on reducing a system to a single equation","author":"Anthonisse","year":"1970"},{"issue":"3","key":"10.1016\/0166-218X(92)00031-G_BIB2","article-title":"On linear aggregation","volume":"13","author":"Babat","year":"1977","journal-title":"Economics and Mathematical Methods"},{"key":"10.1016\/0166-218X(92)00031-G_BIB3","doi-asserted-by":"crossref","first-page":"125","DOI":"10.1016\/0166-218X(84)90095-7","article-title":"Aggregation of nonnegative integer-valued equations","volume":"8","author":"Babayev","year":"1984","journal-title":"Discrete Appl. Math."},{"key":"10.1016\/0166-218X(92)00031-G_BIB4","doi-asserted-by":"crossref","first-page":"86","DOI":"10.1016\/0041-5553(78)90168-4","article-title":"Aggregation of a class of systems of integer equations","volume":"18","author":"Babayev","year":"1979","journal-title":"USSR Comput. Math. and Math. Phys."},{"issue":"1","key":"10.1016\/0166-218X(92)00031-G_BIB5","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1016\/0012-365X(71)90005-7","article-title":"Transformation of integer programs to knapsack problem","volume":"1","author":"Bradley","year":"1971","journal-title":"Discrete Math."},{"key":"10.1016\/0166-218X(92)00031-G_BIB6","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1016\/0166-218X(85)90028-9","article-title":"On the reduction method for integer linear programs","volume":"12","author":"Elimam","year":"1985","journal-title":"Discrete Appl. Math."},{"key":"10.1016\/0166-218X(92)00031-G_BIB7","series-title":"Oper. Res. Report No. 61","article-title":"On the treatment of stock cutting problems as diophantine programs","author":"Elmaghraby","year":"1971"},{"key":"10.1016\/0166-218X(92)00031-G_BIB8","doi-asserted-by":"crossref","first-page":"84","DOI":"10.1007\/BF01580429","article-title":"New results on equivalent integer programming formulations","volume":"8","author":"Glover","year":"1975","journal-title":"Math. Programming"},{"key":"10.1016\/0166-218X(92)00031-G_BIB9","first-page":"1","article-title":"Aggregating diophantine equations","volume":"16","author":"Glover","year":"1972","journal-title":"Z. Oper. Res."},{"key":"10.1016\/0166-218X(92)00031-G_BIB10","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1016\/0166-218X(88)90053-4","article-title":"A new reduction method in integer programming","volume":"21","author":"Greenberg","year":"1988","journal-title":"Discrete Appl. Math."},{"key":"10.1016\/0166-218X(92)00031-G_BIB11","article-title":"A method for aggregation of integer programming problems","volume":"2","author":"Ivanov","year":"1975","journal-title":"Vestnik Acad. Sci. BSSR, Ser. Phys. Math. Sci."},{"key":"10.1016\/0166-218X(92)00031-G_BIB12","article-title":"Uniqueness of integer nonnegative solutions of one linear equation","author":"Knyazev","year":"1979","journal-title":"Deposited VINITI (USSR)"},{"key":"10.1016\/0166-218X(92)00031-G_BIB13","article-title":"Aggregation of systems of linear diophantine equations","volume":"3","author":"Mamedov","year":"1977","journal-title":"Izv. Acad. Sci. Azerbaijan"},{"key":"10.1016\/0166-218X(92)00031-G_BIB14","series-title":"Dissertation for the Degree of The Candidate of Phys.-Math. Sci.","article-title":"On suboptimal and optimal solutions of integer programming problems","author":"Mamedov","year":"1981"},{"issue":"2","key":"10.1016\/0166-218X(92)00031-G_BIB15","article-title":"Problem of aggregation nonlinear diophantine equations","volume":"33","author":"Mamedov","year":"1977","journal-title":"Doklady Acad. Sci. Azerbaijan"},{"key":"10.1016\/0166-218X(92)00031-G_BIB16","first-page":"486","article-title":"On the partition of numbers","volume":"28","author":"Mathews","year":"1987","journal-title":"Proc. London Math. Soc."},{"key":"10.1016\/0166-218X(92)00031-G_BIB17","doi-asserted-by":"crossref","first-page":"699","DOI":"10.1002\/nav.3800190410","article-title":"Equivalent knapsack-type formulation of bounded integer linear programs: an alternative approach","volume":"19","author":"Padberg","year":"1972","journal-title":"Naval. Res. Logist. Quart."},{"issue":"4","key":"10.1016\/0166-218X(92)00031-G_BIB18","doi-asserted-by":"crossref","first-page":"485","DOI":"10.1007\/BF01070607","article-title":"Aggregation of linear integer-valued equations","volume":"21","author":"Veselov","year":"1985","journal-title":"Cybernetics"},{"issue":"4","key":"10.1016\/0166-218X(92)00031-G_BIB19","doi-asserted-by":"crossref","first-page":"563","DOI":"10.1007\/BF01069838","article-title":"On exponential growth of coefficients of aggregating equation","volume":"14","author":"Veselov","year":"1978","journal-title":"Cybernetics"}],"container-title":["Discrete Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0166218X9200031G?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0166218X9200031G?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,13]],"date-time":"2019-04-13T06:27:23Z","timestamp":1555136843000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/0166218X9200031G"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1994,5]]},"references-count":19,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1994,5]]}},"alternative-id":["0166218X9200031G"],"URL":"https:\/\/doi.org\/10.1016\/0166-218x(92)00031-g","relation":{},"ISSN":["0166-218X"],"issn-type":[{"value":"0166-218X","type":"print"}],"subject":[],"published":{"date-parts":[[1994,5]]}}}